Finite Group Databasebeta

← Group #13017061

Character table — Group #13017061

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111222222224444444444555555558888888888888888101010101010101016161616161616162020202020202020202020202020202020202020202020202020202020202020202040404040
order12222222444444444451010101010101044444444224420202020202020202020202044444444101010102020202044888888888888888888888888888888884444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ31111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ511111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i1111
χ911111111-1-1-1-1-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i-1-111
χ1011111111-1-1-1-1-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii-1-111
χ1111111111-1-1-1-1-1-1-1-1111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii11-1-1
χ1211111111-1-1-1-1-1-1-1-1111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i11-1-1
χ1311111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1
χ1411111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1
χ1511111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111
χ1611111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
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χ181-1-111-11-1iiii−i−i−i−i1-1111-11-1-1-1iiii−i−i−i−i1-1i−i11-1-1iiii−i−i−i−i1111-1-1-1-111-1-1ii−i−ii−i-1-111−i−iii−i−iii-1-111-1-111−i−iii−i−iii-1-1111-1i−i
χ191-1-111-11-1iiii−i−i−i−i1-1111-11-1-1-1iiii−i−i−i−i-11−ii11-1-1iiii−i−i−i−i1111-1-1-1-1-1-111−i−iiii−i11-1-1ii−i−iii−i−i11-1-1-1-111−i−iii−i−iii-1-111-11−ii
χ201-1-111-11-1iiii−i−i−i−i1-1111-11-1-1-1iiii−i−i−i−i-11−ii11-1-1iiii−i−i−i−i1111-1-1-1-1-1-111−i−iiii−i-1-111−i−iii−i−iii-1-11111-1-1ii−i−iii−i−i11-1-1-11−ii
χ211-1-111-11-1iiii−i−i−i−i1-1111-11-1-1-1−i−i−i−iiiii1-1i−i11-1-1iiii−i−i−i−i-1-1-1-1111111-1-1ii−i−i−iiii−i−i-1-11111-1-1−i−iiiii−i−i-1-11111-1-1−i−iii-11−ii
χ221-1-111-11-1iiii−i−i−i−i1-1111-11-1-1-1−i−i−i−iiiii1-1i−i11-1-1iiii−i−i−i−i-1-1-1-1111111-1-1ii−i−i−ii−i−iii11-1-1-1-111ii−i−i−i−iii11-1-1-1-111ii−i−i-11−ii
χ231-1-111-11-1iiii−i−i−i−i1-1111-11-1-1-1−i−i−i−iiiii-11−ii11-1-1iiii−i−i−i−i-1-1-1-11111-1-111−i−iii−iiii−i−i-1-11111-1-1−i−iii−i−iii11-1-1-1-111ii−i−i1-1i−i
χ241-1-111-11-1iiii−i−i−i−i1-1111-11-1-1-1−i−i−i−iiiii-11−ii11-1-1iiii−i−i−i−i-1-1-1-11111-1-111−i−iii−ii−i−iii11-1-1-1-111ii−i−iii−i−i-1-11111-1-1−i−iii1-1i−i
χ251-1-111-11-1−i−i−i−iiiii1-1111-11-1-1-1iiii−i−i−i−i1-1−ii11-1-1−i−i−i−iiiii-1-1-1-1111111-1-1−i−iiii−iii−i−i11-1-1-1-111−i−iiiii−i−i11-1-1-1-111−i−iii-11i−i
χ261-1-111-11-1−i−i−i−iiiii1-1111-11-1-1-1iiii−i−i−i−i1-1−ii11-1-1−i−i−i−iiiii-1-1-1-1111111-1-1−i−iiii−i−i−iii-1-11111-1-1ii−i−i−i−iii-1-11111-1-1ii−i−i-11i−i
χ271-1-111-11-1−i−i−i−iiiii1-1111-11-1-1-1iiii−i−i−i−i-11i−i11-1-1−i−i−i−iiiii-1-1-1-11111-1-111ii−i−ii−iii−i−i11-1-1-1-111−i−iii−i−iii-1-11111-1-1ii−i−i1-1−ii
χ281-1-111-11-1−i−i−i−iiiii1-1111-11-1-1-1iiii−i−i−i−i-11i−i11-1-1−i−i−i−iiiii-1-1-1-11111-1-111ii−i−ii−i−i−iii-1-11111-1-1ii−i−iii−i−i11-1-1-1-111−i−iii1-1−ii
χ291-1-111-11-1−i−i−i−iiiii1-1111-11-1-1-1−i−i−i−iiiii1-1−ii11-1-1−i−i−i−iiiii1111-1-1-1-111-1-1−i−iii−ii11-1-1−i−iii−i−iii11-1-111-1-1−i−iii−i−iii11-1-11-1−ii
χ301-1-111-11-1−i−i−i−iiiii1-1111-11-1-1-1−i−i−i−iiiii1-1−ii11-1-1−i−i−i−iiiii1111-1-1-1-111-1-1−i−iii−ii-1-111ii−i−iii−i−i-1-111-1-111ii−i−iii−i−i-1-1111-1−ii
χ311-1-111-11-1−i−i−i−iiiii1-1111-11-1-1-1−i−i−i−iiiii-11i−i11-1-1−i−i−i−iiiii1111-1-1-1-1-1-111ii−i−i−ii11-1-1−i−iii−i−iii11-1-1-1-111ii−i−iii−i−i-1-111-11i−i
χ321-1-111-11-1−i−i−i−iiiii1-1111-11-1-1-1−i−i−i−iiiii-11i−i11-1-1−i−i−i−iiiii1111-1-1-1-1-1-111ii−i−i−ii-1-111ii−i−iii−i−i-1-11111-1-1−i−iii−i−iii11-1-1-11i−i
χ332222222222-2-222-2-2-2-222222222222222220000-2-2-2-222-2-222-2-222-2-222-2-200000000-2-2000000000000000000000000000000000000
χ342222222222-2-222-2-2-2-222222222-2-2-2-2-2-2-2-20000-2-2-2-222-2-222-2-2-2-222-2-2220000000022000000000000000000000000000000000000
χ3522222222-2-222-2-222-2-222222222222222220000-2-2-2-2-2-222-2-222-2-222-2-22200000000-2-2000000000000000000000000000000000000
χ3622222222-2-222-2-222-2-222222222-2-2-2-2-2-2-2-20000-2-2-2-2-2-222-2-22222-2-222-2-20000000022000000000000000000000000000000000000
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χ692-2-222-22-22i2i−2i−2i−2i−2i2i2i-22222-22-2-2-22i2i2i2i−2i−2i−2i−2i0000-2-2222i2i−2i−2i−2i−2i2i2i22-2-2-2-22200000000−2i2i000000000000000000000000000000000000
χ702-2-222-22-22i2i−2i−2i−2i−2i2i2i-22222-22-2-2-2−2i−2i−2i−2i2i2i2i2i0000-2-2222i2i−2i−2i−2i−2i2i2i-2-22222-2-2000000002i−2i000000000000000000000000000000000000
χ712-2-222-22-2−2i−2i2i2i2i2i−2i−2i-22222-22-2-2-22i2i2i2i−2i−2i−2i−2i0000-2-222−2i−2i2i2i2i2i−2i−2i-2-22222-2-200000000−2i2i000000000000000000000000000000000000
χ722-2-222-22-2−2i−2i2i2i2i2i−2i−2i-22222-22-2-2-2−2i−2i−2i−2i2i2i2i2i0000-2-222−2i−2i2i2i2i2i−2i−2i22-2-2-2-222000000002i−2i000000000000000000000000000000000000
χ73444444444444444444-1-1-1-1-1-1-1-1000000004444-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-100000000000000000000000000000000000000
χ74444444444444444444-1-1-1-1-1-1-1-100000000-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1000000001111111100000000000000000000000000000000000000
χ754444444444-4-444-4-4-4-4-1-1-1-1-1-1-1-10000000000001111-1-111-1-111000000005−55−55−55−500000000000000000000000000000000000000
χ764444444444-4-444-4-4-4-4-1-1-1-1-1-1-1-10000000000001111-1-111-1-11100000000−55−55−55−5500000000000000000000000000000000000000
χ7744444444-4-444-4-444-4-4-1-1-1-1-1-1-1-1000000000000111111-1-111-1-1000000005−55−5−55−5500000000000000000000000000000000000000
χ7844444444-4-444-4-444-4-4-1-1-1-1-1-1-1-1000000000000111111-1-111-1-100000000−55−555−55−500000000000000000000000000000000000000
χ7944444444-4-4-4-4-4-4-4-444-1-1-1-1-1-1-1-10000000044-4-4-1-1-1-11111111100000000-1-1-1-1111100000000000000000000000000000000000000
χ8044444444-4-4-4-4-4-4-4-444-1-1-1-1-1-1-1-100000000-4-444-1-1-1-111111111000000001111-1-1-1-100000000000000000000000000000000000000
χ81444-4-4-44-400000000004-4-4-4444-44i−4i−4i4i4i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000
χ82444-4-4-44-400000000004-4-4-4444-4−4i4i4i−4i−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000
χ834-4-444-44-44i4i4i4i−4i−4i−4i−4i4-4-1-1-11-1111000000004-44i−4i-1-111−i−i−i−iiiii00000000-1-111−i−iii00000000000000000000000000000000000000
χ844-4-444-44-44i4i4i4i−4i−4i−4i−4i4-4-1-1-11-111100000000-44−4i4i-1-111−i−i−i−iiiii0000000011-1-1ii−i−i00000000000000000000000000000000000000
χ854-4-444-44-44i4i−4i−4i−4i−4i4i4i-44-1-1-11-111100000000000011-1-1−i−iiiii−i−i000000005−5−55i5−i5−i5i500000000000000000000000000000000000000
χ864-4-444-44-44i4i−4i−4i−4i−4i4i4i-44-1-1-11-111100000000000011-1-1−i−iiiii−i−i00000000−555−5−i5i5i5−i500000000000000000000000000000000000000
χ874-4-444-44-4−4i−4i4i4i4i4i−4i−4i-44-1-1-11-111100000000000011-1-1ii−i−i−i−iii000000005−5−55−i5i5i5−i500000000000000000000000000000000000000
χ884-4-444-44-4−4i−4i4i4i4i4i−4i−4i-44-1-1-11-111100000000000011-1-1ii−i−i−i−iii00000000−555−5i5−i5−i5i500000000000000000000000000000000000000
χ894-4-444-44-4−4i−4i−4i−4i4i4i4i4i4-4-1-1-11-1111000000004-4−4i4i-1-111iiii−i−i−i−i00000000-1-111ii−i−i00000000000000000000000000000000000000
χ904-4-444-44-4−4i−4i−4i−4i4i4i4i4i4-4-1-1-11-111100000000-444i−4i-1-111iiii−i−i−i−i0000000011-1-1−i−iii00000000000000000000000000000000000000
χ914-4-4-4-444400000000004-4-444-4-444-4-44-444-40000000000000000000000000000000000000000000000000000000000000000000000
χ924-4-4-4-444400000000004-4-444-4-44-444-44-4-440000000000000000000000000000000000000000000000000000000000000000000000
χ93888-8-8-88-80000000000-2222-2-2-2200000000000025−2525−2500000000000000000000000000000000000000000000000000000000000000
χ94888-8-8-88-80000000000-2222-2-2-22000000000000−2525−252500000000000000000000000000000000000000000000000000000000000000
χ9588-88-88-8-8008-8008-800-2-2222-22-2000000000000000000-2200-22000000000000000000000000000000000000000000000000000000
χ9688-88-88-8-800-8800-8800-2-2222-22-20000000000000000002-2002-2000000000000000000000000000000000000000000000000000000
χ9788-8-88-8-888i−8i008i−8i0000-22-2-22-2220000000000000000−2i2i00−2i2i00000000000000000000000000000000000000000000000000000000
χ9888-8-88-8-88−8i8i00−8i8i0000-22-2-22-22200000000000000002i−2i002i−2i00000000000000000000000000000000000000000000000000000000
χ998-888-8-8-88008i−8i00−8i8i00-2-22-222-22000000000000000000−2i2i002i−2i000000000000000000000000000000000000000000000000000000
χ1008-888-8-8-8800−8i8i008i−8i00-2-22-222-220000000000000000002i−2i00−2i2i000000000000000000000000000000000000000000000000000000
χ1018-88-888-8-88-800-880000-22-2222-2-20000000000000000-22002-200000000000000000000000000000000000000000000000000000000
χ1028-88-888-8-8-88008-80000-22-2222-2-200000000000000002-200-2200000000000000000000000000000000000000000000000000000000
χ1038-8-8-8-88880000000000-222-2-222-200000000000025−25−252500000000000000000000000000000000000000000000000000000000000000
χ1048-8-8-8-88880000000000-222-2-222-2000000000000−252525−2500000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).